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Finding the Third Proportional to 1,331.44 and 2,140.59

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Solution

The third proportional to 1,331.44 and 2,140.59 is: 3,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.44 : 2,140.59 = 2,140.59 : x
  2. Step 2: Convert to fraction form
    1,331.44/2,140.59 = 2,140.59/x
  3. Step 3: Cross multiply
    1,331.44x = 2,140.59 × 2,140.59
  4. Step 4: Simplify right side
    1,331.44x = 4,582,141.60
  5. Step 5: Solve for x
    x = 4,582,141.60/1,331.44
  6. Step 6: Final answer
    x = 3,441.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.